Skip to main content

2018 | OriginalPaper | Buchkapitel

9. Techniques for Medical Images Processing Using Shearlet Transform and Color Coding

verfasst von : Alexander Zotin, Konstantin Simonov, Fedor Kapsargin, Tatyana Cherepanova, Alexey Kruglyakov, Luis Cadena

Erschienen in: Computer Vision in Control Systems-4

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Image processing techniques play an important role in the diagnostics and detection of diseases and monitoring the patients having these diseases. The chapter presents the medical image processing and morphological analysis in the solution of urology and plastic surgery (hernioplasty) problems. Novel methodology for processing medical images using a color coding of contour representation obtained by Digital Shearlet Transform (DST) has been presented. The object contours in the medical urology images are obtained using the conventional filters, and then results are compared. Since medical images can contain some noise, it makes sense to suppress the noise at the preprocessing step. For this purpose, the optimized in implementation algorithms of the most frequently used filters, such as the mean filter, Gaussian filter, median filter, and 2D cleaner filter, had been developed. A comparison of the optimized and ordinary implementations of noise reduction filter shows great speed improvement of the optimized implementations (around 3–20 times). Additionally, the parallel implementation gives 2–3.5 times performance boost. The proposed methodology allows to improve the accuracy and decrease the error of the sought parameters and characteristics by 10–20% on average without a lack of significant details in the structural features of the examined objects. The results of the experimental study show an error decrease in data representation for the plastic surgery (hernioplasty) by 15–25%.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Dzeranov, N.K., Lopatkin, N.A.: Kidney STONES: CLINICAL GUIDELInes. Overlei, Moscow (2007). (in Russian) Dzeranov, N.K., Lopatkin, N.A.: Kidney STONES: CLINICAL GUIDELInes. Overlei, Moscow (2007). (in Russian)
2.
Zurück zum Zitat Filimonov, G.P., Alyayev, YuG, Vasil’yev, P.V.: The treatment of nephrolithiasis: the role of spiral CT. Radiol. Pract. 4, 34–35 (2001). (in Russian) Filimonov, G.P., Alyayev, YuG, Vasil’yev, P.V.: The treatment of nephrolithiasis: the role of spiral CT. Radiol. Pract. 4, 34–35 (2001). (in Russian)
3.
Zurück zum Zitat Nyhus, L.: Individualization of hernia repair: A new era. Surgery 114(1), 1–2 (1993) Nyhus, L.: Individualization of hernia repair: A new era. Surgery 114(1), 1–2 (1993)
4.
Zurück zum Zitat Gunther, V.E. (ed.): Shape memory biomaterials and implants. In: Proceedings of International Conference Tomsk Russia. STT, Northampton, MA (2001) (in Russian) Gunther, V.E. (ed.): Shape memory biomaterials and implants. In: Proceedings of International Conference Tomsk Russia. STT, Northampton, MA (2001) (in Russian)
5.
Zurück zum Zitat Brisbane, W., Bailey, M.R., Sorensen, M.D.: An overview of kidney stone imaging techniques. Nat. Rev. Urol. 16(11), 654–662 (2016)CrossRef Brisbane, W., Bailey, M.R., Sorensen, M.D.: An overview of kidney stone imaging techniques. Nat. Rev. Urol. 16(11), 654–662 (2016)CrossRef
6.
Zurück zum Zitat Troccaz, J., Baumann, M., Berkelman, P., Cinquin, P., Daanen, V., Leroy, A., Marchal, M., Payan, Y., Promayon, E., Voros, S., Bart, S., Bolla, M., Chartier-Kastler, E., Descotes, J.L., Dusserre, A., Giraud, J.Y., Long, J.A., Moalic, R., Mozer, P.: Medical Image Computing and Computer Aided Medical Interventions applied to soft tissues. Work in progress in Urology. Proc. IEEE 94(9), 1665–1677 (2006)CrossRef Troccaz, J., Baumann, M., Berkelman, P., Cinquin, P., Daanen, V., Leroy, A., Marchal, M., Payan, Y., Promayon, E., Voros, S., Bart, S., Bolla, M., Chartier-Kastler, E., Descotes, J.L., Dusserre, A., Giraud, J.Y., Long, J.A., Moalic, R., Mozer, P.: Medical Image Computing and Computer Aided Medical Interventions applied to soft tissues. Work in progress in Urology. Proc. IEEE 94(9), 1665–1677 (2006)CrossRef
7.
Zurück zum Zitat Andrabi, Y., Patino, M., Das, ChJ, Eisner, B., Sahani, D.V., Kambadakone, A.: Advances in ct imaging for urolithiasis. Indian J Urol. 31(3), 185–193 (2015)CrossRef Andrabi, Y., Patino, M., Das, ChJ, Eisner, B., Sahani, D.V., Kambadakone, A.: Advances in ct imaging for urolithiasis. Indian J Urol. 31(3), 185–193 (2015)CrossRef
8.
Zurück zum Zitat Sharma, N., Aggarwal, L.M.: Automated medical image segmentation techniques. J. Med. Phys. 35(1), 3–14 (2010)CrossRef Sharma, N., Aggarwal, L.M.: Automated medical image segmentation techniques. J. Med. Phys. 35(1), 3–14 (2010)CrossRef
9.
Zurück zum Zitat Withey, D.J., Koles, Z.J.: Three generations of medical image segmentation: methods and available software. Int. J. Bioelectromagnetism 9(2), 67–68 (2007) Withey, D.J., Koles, Z.J.: Three generations of medical image segmentation: methods and available software. Int. J. Bioelectromagnetism 9(2), 67–68 (2007)
10.
Zurück zum Zitat Prince, J.L., Links, J.M.: Medical Imaging Signals and System. Pearson (Prentice Hall), Upper Saddle River, NJ, USA (2006) Prince, J.L., Links, J.M.: Medical Imaging Signals and System. Pearson (Prentice Hall), Upper Saddle River, NJ, USA (2006)
11.
Zurück zum Zitat Macovski, A.: Medical Imaging Systems. Prentice-Hall, Englewood Cliffs, New Jersey (1983) Macovski, A.: Medical Imaging Systems. Prentice-Hall, Englewood Cliffs, New Jersey (1983)
12.
Zurück zum Zitat Kalannagari, V., Gunasundari R.: Analysis and implementation of kidney stone detection by reaction diffusion level set segmentation using Xilinx system generator on FPGA. VLSI Design, vol. 2015, Article ID 581961 (2015) Kalannagari, V., Gunasundari R.: Analysis and implementation of kidney stone detection by reaction diffusion level set segmentation using Xilinx system generator on FPGA. VLSI Design, vol. 2015, Article ID 581961 (2015)
13.
Zurück zum Zitat Selby, M.G., Vrtiska, T.J., Krambeck, A.E., McCollough, C.H., Elsherbiny, H., Bergstralh, E.J., Lieske, J.C., Rule, A.D.: Quantification of asymptomatic kidney stone burden by computed tomography for predicting future symptomatic stone events. Urology 85(1), 45–50 (2015)CrossRef Selby, M.G., Vrtiska, T.J., Krambeck, A.E., McCollough, C.H., Elsherbiny, H., Bergstralh, E.J., Lieske, J.C., Rule, A.D.: Quantification of asymptomatic kidney stone burden by computed tomography for predicting future symptomatic stone events. Urology 85(1), 45–50 (2015)CrossRef
14.
Zurück zum Zitat Tamilselvi, P.R., Thangaraj, P.: Segmentation of calculi from ultrasound kidney images by region indicator with contour segmentation method. Glob. J. Comput. Sci. Technol. 11(22), 1–9 (2011) Tamilselvi, P.R., Thangaraj, P.: Segmentation of calculi from ultrasound kidney images by region indicator with contour segmentation method. Glob. J. Comput. Sci. Technol. 11(22), 1–9 (2011)
15.
Zurück zum Zitat Rutkov, I.M., Robbins, A.W.: Hernioplasty with mesh’implantanti. Surg. Clin. Nort. Am. 73, 413–426 (1993)CrossRef Rutkov, I.M., Robbins, A.W.: Hernioplasty with mesh’implantanti. Surg. Clin. Nort. Am. 73, 413–426 (1993)CrossRef
16.
Zurück zum Zitat Dahiya, A., Dubey, R.B.: Survey of some multilevel thresholding techniques for medical imaging. Int. J. Sci. Eng. Res. 3(7), 103–106 (2015) Dahiya, A., Dubey, R.B.: Survey of some multilevel thresholding techniques for medical imaging. Int. J. Sci. Eng. Res. 3(7), 103–106 (2015)
17.
Zurück zum Zitat Ravichandran, G., Palanivel, V.: Non-linear enhancement and selection of plane for segmenting the abdominal image for kidney stone identification. Int. J Adv. Res. Electron. Commun. Eng. 5(2), 430–434 (2016) Ravichandran, G., Palanivel, V.: Non-linear enhancement and selection of plane for segmenting the abdominal image for kidney stone identification. Int. J Adv. Res. Electron. Commun. Eng. 5(2), 430–434 (2016)
18.
Zurück zum Zitat Sawale, V.M., Chokhat, A.D.: An optimize mechanism for multifunction diagnosis of kidneys by using genetic algorithm. Int. J. Eng. Comput. Sci. 3(12), 9656–9659 (2014) Sawale, V.M., Chokhat, A.D.: An optimize mechanism for multifunction diagnosis of kidneys by using genetic algorithm. Int. J. Eng. Comput. Sci. 3(12), 9656–9659 (2014)
19.
Zurück zum Zitat Raja, R.A., Ranjani, J.J.: Segment based detection and quantification of kidney stones and its symmetric analysis using texture properties based on logical operators with ultra sound scanning. In: International Conference on Computing and Information Technology (ICIT’2013), pp. 8–15 (2013) Raja, R.A., Ranjani, J.J.: Segment based detection and quantification of kidney stones and its symmetric analysis using texture properties based on logical operators with ultra sound scanning. In: International Conference on Computing and Information Technology (ICIT’2013), pp. 8–15 (2013)
20.
Zurück zum Zitat Davies, E.: Machine Vision: Theory, Algorithms and Practicalities. Academic Press (2012) Davies, E.: Machine Vision: Theory, Algorithms and Practicalities. Academic Press (2012)
21.
Zurück zum Zitat Szeliski, R.: Computer Vision: Algorithms and Applications. Springer-Verlag London Limited, London (2011)CrossRefMATH Szeliski, R.: Computer Vision: Algorithms and Applications. Springer-Verlag London Limited, London (2011)CrossRefMATH
22.
Zurück zum Zitat Jain, R., Kasturi, R., Schunck, B.G.: Machine Vision. McGraw-Hill Inc, New York (1995) Jain, R., Kasturi, R., Schunck, B.G.: Machine Vision. McGraw-Hill Inc, New York (1995)
23.
Zurück zum Zitat Gonzalez, R.C., Woods, R.E.: Digital Image Processing, 3rd edn. Prentice-Hall, Englewood Cliffs (2008) Gonzalez, R.C., Woods, R.E.: Digital Image Processing, 3rd edn. Prentice-Hall, Englewood Cliffs (2008)
24.
Zurück zum Zitat Canny, J.: A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell. 8(6), 679–698 (1986)CrossRef Canny, J.: A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell. 8(6), 679–698 (1986)CrossRef
25.
Zurück zum Zitat Hauser, S.: Fast Finite Shearlet Transform: a Tutorial. University of Kaiserslautern, Kaiserslautern, Germany (2011) Hauser, S.: Fast Finite Shearlet Transform: a Tutorial. University of Kaiserslautern, Kaiserslautern, Germany (2011)
27.
Zurück zum Zitat Guo, K., Labate, D., Lim, W.-Q.: Edge analysis and identification using the continuous shearlet transform. Appl. Comput. Harmonic Anal. 27(1), 24–46 (2009)CrossRefMATHMathSciNet Guo, K., Labate, D., Lim, W.-Q.: Edge analysis and identification using the continuous shearlet transform. Appl. Comput. Harmonic Anal. 27(1), 24–46 (2009)CrossRefMATHMathSciNet
28.
Zurück zum Zitat Kutyniok, G., Sauer, T.: From wavelets to shearlets and back again. In: Neamtu, M., Schumaker, II. (eds.) Approximation Theory, vol. XII, pp. 201–209. Hashboro Press, San Antonio, TX, Nachville, TN (2007) Kutyniok, G., Sauer, T.: From wavelets to shearlets and back again. In: Neamtu, M., Schumaker, II. (eds.) Approximation Theory, vol. XII, pp. 201–209. Hashboro Press, San Antonio, TX, Nachville, TN (2007)
29.
Zurück zum Zitat Kutyniok, G., Labate, D.: Introduction to shearlets. In: Kutyniok G, Labate D (eds.) Shearlets: Multiscale Analysis for Multivariate Data, pp. 1–38, LLC. Springer Science+Business Media (2012) Kutyniok, G., Labate, D.: Introduction to shearlets. In: Kutyniok G, Labate D (eds.) Shearlets: Multiscale Analysis for Multivariate Data, pp. 1–38, LLC. Springer Science+Business Media (2012)
30.
Zurück zum Zitat Labate, D., Easley, G., Lim, W.: Sparse directional image representations using the discrete shearlet transform. Appl. Comput. Harmonic Anal. 25(1), 25–46 (2008)CrossRefMATHMathSciNet Labate, D., Easley, G., Lim, W.: Sparse directional image representations using the discrete shearlet transform. Appl. Comput. Harmonic Anal. 25(1), 25–46 (2008)CrossRefMATHMathSciNet
31.
Zurück zum Zitat Lim, W.Q.: The discrete shearlet transform: a new directional transform and compactly supported shearlet frames. IEEE Trans. Image Process. 19(5), 1166–1180 (2010)CrossRefMATHMathSciNet Lim, W.Q.: The discrete shearlet transform: a new directional transform and compactly supported shearlet frames. IEEE Trans. Image Process. 19(5), 1166–1180 (2010)CrossRefMATHMathSciNet
32.
Zurück zum Zitat Cadena, L., Espinosa, N., Cadena, F., Kirillova, S., Barkova, D., Zotin, A.: Processing medical images by new several mathematics shearlet transform. In: International MultiConference of Engineers and Computer Scientists (IMECS’2016), vol. I, pp. 369–371 (2016) Cadena, L., Espinosa, N., Cadena, F., Kirillova, S., Barkova, D., Zotin, A.: Processing medical images by new several mathematics shearlet transform. In: International MultiConference of Engineers and Computer Scientists (IMECS’2016), vol. I, pp. 369–371 (2016)
33.
Zurück zum Zitat Abirami, M.S., Sheela, T.: Kidney segmentation for finding its abnormalities in abdominal CT images. Int. J. Appl. Eng. Res. 10(12), 32025–32034 (2015) Abirami, M.S., Sheela, T.: Kidney segmentation for finding its abnormalities in abdominal CT images. Int. J. Appl. Eng. Res. 10(12), 32025–32034 (2015)
34.
Zurück zum Zitat Senthil, K.N., Sathyavathy, S.: Segmentation of renal calculi from CT abdomen images by incorporating FCM and level set approaches. Int. J. Adv. Res. Comput. Commun. Eng. 5(7), 132–138 (2016) Senthil, K.N., Sathyavathy, S.: Segmentation of renal calculi from CT abdomen images by incorporating FCM and level set approaches. Int. J. Adv. Res. Comput. Commun. Eng. 5(7), 132–138 (2016)
35.
Zurück zum Zitat Liu, J., Wang, S., Turkbey, E.B., Linguraru, M.G., Yao, J., Ronald, M.: Computer-aided detection of renal calculi from noncontrast CT images using TV-flow and MSER features. Summers citation. Med. Phys. 42(1), 144–153 (2015)CrossRef Liu, J., Wang, S., Turkbey, E.B., Linguraru, M.G., Yao, J., Ronald, M.: Computer-aided detection of renal calculi from noncontrast CT images using TV-flow and MSER features. Summers citation. Med. Phys. 42(1), 144–153 (2015)CrossRef
36.
Zurück zum Zitat Ebrahimi, S., Mariano, V.Y.: Image quality improvement in kidney stone detection on computed tomography images. J. Image Graph. 3(1), 40–46 (2015) Ebrahimi, S., Mariano, V.Y.: Image quality improvement in kidney stone detection on computed tomography images. J. Image Graph. 3(1), 40–46 (2015)
37.
Zurück zum Zitat Tamilselvi, P.R., Thangaraj, P.: Computer aided diagnosis system for stone detection and early detection of kidney stones. J. Comput. Sci. 7(2), 250–254 (2011)CrossRef Tamilselvi, P.R., Thangaraj, P.: Computer aided diagnosis system for stone detection and early detection of kidney stones. J. Comput. Sci. 7(2), 250–254 (2011)CrossRef
38.
Zurück zum Zitat Avtandilov, G.G.: Medical Morphometry. Medicine, Moscow (1990) (in Russian) Avtandilov, G.G.: Medical Morphometry. Medicine, Moscow (1990) (in Russian)
39.
Zurück zum Zitat Zotov, V.A., Veronskiy, G.I., Vostrikov, O.V.: Clinical-morphological substantiation of a choice of implants in surgery of hernia of anterior abdominal. Morphology and Surgery Proc. Novosibirsk, pp. 88–91 (2000) (in Russian) Zotov, V.A., Veronskiy, G.I., Vostrikov, O.V.: Clinical-morphological substantiation of a choice of implants in surgery of hernia of anterior abdominal. Morphology and Surgery Proc. Novosibirsk, pp. 88–91 (2000) (in Russian)
40.
Zurück zum Zitat Radkevich, A.A., Gorbunov, N.A., Khodorenko, V.N., Usoltsev, D.M.: Reparative desmogenez in connective tissue defects after the replacement of NiTi implants. Implants Shape Mem. 1, 21–25 (2008) Radkevich, A.A., Gorbunov, N.A., Khodorenko, V.N., Usoltsev, D.M.: Reparative desmogenez in connective tissue defects after the replacement of NiTi implants. Implants Shape Mem. 1, 21–25 (2008)
41.
Zurück zum Zitat Radkevich, A.A., Vinnik, YuS, Kasparova, I.E.: Reparative desmogenez after replacement of connective tissue defects tissue implants from NiTi. Siberian Med. J 91(8), 151–153 (2009) Radkevich, A.A., Vinnik, YuS, Kasparova, I.E.: Reparative desmogenez after replacement of connective tissue defects tissue implants from NiTi. Siberian Med. J 91(8), 151–153 (2009)
42.
Zurück zum Zitat Shinde, B., Mhaske, D., Dani, A.R.: Study of noise detection and noise removal techniques in medical images. Int. J. Image Graph. Sig. Process. 2, 51–60 (2012)CrossRef Shinde, B., Mhaske, D., Dani, A.R.: Study of noise detection and noise removal techniques in medical images. Int. J. Image Graph. Sig. Process. 2, 51–60 (2012)CrossRef
43.
Zurück zum Zitat Sudha, S., Suresh, G.R., Sukanesh, R.: Speckle noise reduction in ultrasound images by wavelet thresholding based on weighted variance. Int. J. Comp. Theory Eng. 1(1), 1793–8201 (2009) Sudha, S., Suresh, G.R., Sukanesh, R.: Speckle noise reduction in ultrasound images by wavelet thresholding based on weighted variance. Int. J. Comp. Theory Eng. 1(1), 1793–8201 (2009)
44.
Zurück zum Zitat Mamta, J., Mohana, R.: An improved adaptive median filtering method for impulse noise detection. Int. J. Recent Trends Eng. 1(1), 274–278 (2009) Mamta, J., Mohana, R.: An improved adaptive median filtering method for impulse noise detection. Int. J. Recent Trends Eng. 1(1), 274–278 (2009)
45.
Zurück zum Zitat Gnanambal, I., Marudhachalam, R.: New hybrid filtering techniques for removal of speckle noise from ultrasound medical images. Sci. Magna 7(1), 38–53 (2011) Gnanambal, I., Marudhachalam, R.: New hybrid filtering techniques for removal of speckle noise from ultrasound medical images. Sci. Magna 7(1), 38–53 (2011)
46.
Zurück zum Zitat Arin, H.H., Hozheen, O.M., Sardar, P.Y.: Denoising of medical images by using some filters. Int. J. Biotechnol. Res. 3(1), 10–20 (2015) Arin, H.H., Hozheen, O.M., Sardar, P.Y.: Denoising of medical images by using some filters. Int. J. Biotechnol. Res. 3(1), 10–20 (2015)
47.
Zurück zum Zitat Donoho, D.L., Kutyniok, G.: Geometric separation using a wavelet-shearlet dictionary. In: International Conference on Sampling Theory and Applications (SAMPTA’2009), pp. 95–99 (2009) Donoho, D.L., Kutyniok, G.: Geometric separation using a wavelet-shearlet dictionary. In: International Conference on Sampling Theory and Applications (SAMPTA’2009), pp. 95–99 (2009)
48.
Zurück zum Zitat Fadilli, M.J., Starck, J.L., Elad, M., Donoho, D.L.: MCALab: reproducible research in signal and image decomposition and inpainting. IEEE Comput. Sci. Eng. 12(1), 44–63 (2010)CrossRef Fadilli, M.J., Starck, J.L., Elad, M., Donoho, D.L.: MCALab: reproducible research in signal and image decomposition and inpainting. IEEE Comput. Sci. Eng. 12(1), 44–63 (2010)CrossRef
49.
Zurück zum Zitat Guo, K., Kutyniok, G., Labate, D.: Sparse multidimensional representations using anisotropic dilation and shear operators. In: Chen, G., Lai, M. (eds.) Wavelets and Splines, pp. 189–201. Nashboro Press, Nashville, TN (2006) Guo, K., Kutyniok, G., Labate, D.: Sparse multidimensional representations using anisotropic dilation and shear operators. In: Chen, G., Lai, M. (eds.) Wavelets and Splines, pp. 189–201. Nashboro Press, Nashville, TN (2006)
50.
Zurück zum Zitat Guo, K., Labate, D.: Optimally sparse 3D approximations using shearlet representations. Electron. Res. Announcements Math. Sci. 17, 126–138 (2010)MATHMathSciNet Guo, K., Labate, D.: Optimally sparse 3D approximations using shearlet representations. Electron. Res. Announcements Math. Sci. 17, 126–138 (2010)MATHMathSciNet
51.
Zurück zum Zitat Guo, K., Labate, D.: Optimally sparse multidimensional representation using shearlets. SIAM J. Math. Anal. 39(1), 298–318 (2007)CrossRefMATHMathSciNet Guo, K., Labate, D.: Optimally sparse multidimensional representation using shearlets. SIAM J. Math. Anal. 39(1), 298–318 (2007)CrossRefMATHMathSciNet
52.
Zurück zum Zitat Kutyniok, G., Labate, D.: Construction of regular and irregular shearlet frames. J. Wavelet Theory Appl. 1(1), 1–10 (2007) Kutyniok, G., Labate, D.: Construction of regular and irregular shearlet frames. J. Wavelet Theory Appl. 1(1), 1–10 (2007)
53.
Zurück zum Zitat Labate, D., Lim, W.Q., Kutyniok, G., Weiss, G.: Sparse multidimensional representation using shearlets. In: Proceedings of SPIE 5914. Wavelets XI, 59140U, pp. 254–262 (2005) Labate, D., Lim, W.Q., Kutyniok, G., Weiss, G.: Sparse multidimensional representation using shearlets. In: Proceedings of SPIE 5914. Wavelets XI, 59140U, pp. 254–262 (2005)
54.
Zurück zum Zitat Meyer, Y.: Oscillating patterns in image processing and nonlinear evolution equations. The 15th Dean Jacqueline B. Lewis Memorial Lectures, American Mathematical Society Boston, MA, USA (2002) Meyer, Y.: Oscillating patterns in image processing and nonlinear evolution equations. The 15th Dean Jacqueline B. Lewis Memorial Lectures, American Mathematical Society Boston, MA, USA (2002)
55.
Zurück zum Zitat Starck, J.L., Elad, M., Donoho, D.: Image decomposition via the combination of sparse representation and a variation approach. IEEE Trans. Image Proc. 14(10), 1570–1582 (2005)CrossRefMATH Starck, J.L., Elad, M., Donoho, D.: Image decomposition via the combination of sparse representation and a variation approach. IEEE Trans. Image Proc. 14(10), 1570–1582 (2005)CrossRefMATH
56.
Zurück zum Zitat Chandel, R., Gupta, G.: Image filtering algorithms and techniques: A review. Int. J Adv. Res. Comput. Sci. Softw. Eng. 3(10), 198–202 (2013) Chandel, R., Gupta, G.: Image filtering algorithms and techniques: A review. Int. J Adv. Res. Comput. Sci. Softw. Eng. 3(10), 198–202 (2013)
57.
Zurück zum Zitat Gupta, B., Negi, S.S.: Image denoising with linear and non-linear filters: a review. Int. J. Comput. Science 10(2), 149–154 (2013) Gupta, B., Negi, S.S.: Image denoising with linear and non-linear filters: a review. Int. J. Comput. Science 10(2), 149–154 (2013)
59.
Zurück zum Zitat Lukin, A.: Tips & tricks: fast image filtering algorithms. In: 17th International Conference on Computer Graphics (GraphiCon’2007), pp. 186–189 (2007) Lukin, A.: Tips & tricks: fast image filtering algorithms. In: 17th International Conference on Computer Graphics (GraphiCon’2007), pp. 186–189 (2007)
60.
Zurück zum Zitat Pascal, G.: A survey of Gaussian convolution algorithms. Image Process. Line 3, 286–310 (2013)CrossRef Pascal, G.: A survey of Gaussian convolution algorithms. Image Process. Line 3, 286–310 (2013)CrossRef
61.
Zurück zum Zitat Young, I.T., van Vliet, L.J.: Recursive implementation of the Gaussian filter. Elsevier Sig. Process. 44(2), 139–151 (1995)CrossRef Young, I.T., van Vliet, L.J.: Recursive implementation of the Gaussian filter. Elsevier Sig. Process. 44(2), 139–151 (1995)CrossRef
62.
Zurück zum Zitat Zing, A.: Extended binomial filter for fast Gaussian blur. Vienna, Austria (2010) Zing, A.: Extended binomial filter for fast Gaussian blur. Vienna, Austria (2010)
64.
Zurück zum Zitat Weiss, B.: Fast median and bilateral filtering. ACM Trans. Graph. 25(3), 519–526 (2006)CrossRef Weiss, B.: Fast median and bilateral filtering. ACM Trans. Graph. 25(3), 519–526 (2006)CrossRef
65.
Zurück zum Zitat Cline, D., White, K.B., Egbert, P.K.: Fast 8-bit median filtering based on separability. In: IEEE International Conference on Image Process (ICIP’2007), vol. 5, pp. 281–284 (2007) Cline, D., White, K.B., Egbert, P.K.: Fast 8-bit median filtering based on separability. In: IEEE International Conference on Image Process (ICIP’2007), vol. 5, pp. 281–284 (2007)
66.
Zurück zum Zitat Perreault, S., Hebert, P.: Median filtering in constant time. IEEE Trans. Image Process. 16(9), 2389–2394 (2007)CrossRefMathSciNet Perreault, S., Hebert, P.: Median filtering in constant time. IEEE Trans. Image Process. 16(9), 2389–2394 (2007)CrossRefMathSciNet
67.
Zurück zum Zitat Shameem, A., Jason, R.: Multi-core Programming. Intel Press, USA (2006) Shameem, A., Jason, R.: Multi-core Programming. Intel Press, USA (2006)
68.
Zurück zum Zitat Chandra, R., Dagum, L., Kohr, D., Maydan, D., McDonald, J., Menon, R.: Parallel Programming in OpenMP. Academic Press, USA (2001) Chandra, R., Dagum, L., Kohr, D., Maydan, D., McDonald, J., Menon, R.: Parallel Programming in OpenMP. Academic Press, USA (2001)
69.
Zurück zum Zitat Kiessling, A.: An Introduction to Parallel Programming with OpenMP. A Pedagogical Seminar. The University of Edinburgh, UK (2009) Kiessling, A.: An Introduction to Parallel Programming with OpenMP. A Pedagogical Seminar. The University of Edinburgh, UK (2009)
70.
Zurück zum Zitat Gorban, A.N., Zinoviev, AYu., Pitenko, A.A.: Data visualization by elastic maps. Inf. Technol. 6, 26–35 (2000). (in Russian) Gorban, A.N., Zinoviev, AYu., Pitenko, A.A.: Data visualization by elastic maps. Inf. Technol. 6, 26–35 (2000). (in Russian)
Metadaten
Titel
Techniques for Medical Images Processing Using Shearlet Transform and Color Coding
verfasst von
Alexander Zotin
Konstantin Simonov
Fedor Kapsargin
Tatyana Cherepanova
Alexey Kruglyakov
Luis Cadena
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-67994-5_9